6.42 Evolution versus Creationism: A Gallup Poll released in December 2010 asked 1019 adults living in the Continental U.S. about their belief in the origin of humans. These results, along with results from a more comprehensive poll from 2001 (that we will assume to be exac tly accurate), are summarized in the table below: Response Year: 2010 Year: 2001 Humans Evolved with God guiding (1) 38% 37% Humans evolved but God had no part in the process (2) 16% 12% God created humans in present form (3) 40% 45% Other / No opinion (4) 6% 6% (a) State hypotheses for the following research question: have beliefs on the origin of human life changed since 2001? O Ho: the population follows the 2001 distribution Ha: the population follows the 2010 distribution O Ho: the population follows the 2001 distribution Ha: the population doesn't follow the 2001 distribution O the population follows the 2010 distribution Ha: the population doesn't follow the 2010 distribution (b/c) Calculate the actual number of respondents in 2010 that fall in each response category as well as the expected number, assuming that the population follows the 2001 distribution. (please round to the nearest whole number) Response Observed 2010 Expected 2010 Humans Evolved with God guiding (1) Humans evolved but God had no part in the process (2) God created humans in present form (3) Other / No opinion (4) (d) Conduct a chi-square test and state your conclusion. The value of the test statistic is: (please round to two decimal places) The degrees of freedom for this test are: The p-value for this test is: | (please round to four decimal places) State the conclusion of the test in the context of the problem: O The data provide sufficient evidence to claim that the 2010 distribution is different than the distribution in 2001 O The data to not provide sufficient evidence to claim that the 2010 distribution is different than the distribution in 2001
6.42 Evolution versus Creationism: A Gallup Poll released in December 2010 asked 1019 adults living in the Continental U.S. about their belief in the origin of humans. These results, along with results from a more comprehensive poll from 2001 (that we will assume to be exac tly accurate), are summarized in the table below: Response Year: 2010 Year: 2001 Humans Evolved with God guiding (1) 38% 37% Humans evolved but God had no part in the process (2) 16% 12% God created humans in present form (3) 40% 45% Other / No opinion (4) 6% 6% (a) State hypotheses for the following research question: have beliefs on the origin of human life changed since 2001? O Ho: the population follows the 2001 distribution Ha: the population follows the 2010 distribution O Ho: the population follows the 2001 distribution Ha: the population doesn't follow the 2001 distribution O the population follows the 2010 distribution Ha: the population doesn't follow the 2010 distribution (b/c) Calculate the actual number of respondents in 2010 that fall in each response category as well as the expected number, assuming that the population follows the 2001 distribution. (please round to the nearest whole number) Response Observed 2010 Expected 2010 Humans Evolved with God guiding (1) Humans evolved but God had no part in the process (2) God created humans in present form (3) Other / No opinion (4) (d) Conduct a chi-square test and state your conclusion. The value of the test statistic is: (please round to two decimal places) The degrees of freedom for this test are: The p-value for this test is: | (please round to four decimal places) State the conclusion of the test in the context of the problem: O The data provide sufficient evidence to claim that the 2010 distribution is different than the distribution in 2001 O The data to not provide sufficient evidence to claim that the 2010 distribution is different than the distribution in 2001
A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Transcribed Image Text:6.42 Evolution versus Creationism: A Gallup Poll released in December 2010 asked 1019 adults living
in the Continental U.S. about their belief in the origin of humans. These results, along with results
from a more comprehensive poll from 2001 (that we will assume to be exactly accurate), are
summarized in the table below:
Response
Humans Evolved with God guiding (1)
Year: 2010
Year: 2001
38%
37%
Humans evolved but God had no part in the process (2)
16%
12%
God created humans in present form (3)
40%
45%
Other / No opinion (4)
6%
6%
(a) State hypotheses for the following research question: have beliefs on the origin of human life
changed since 2001?
O Ho: the population follows the 2001 distribution
Ha: the population follows the 2010 distribution
O Ho: the population follows the 2001 distribution
Ha: the population doesn't follow the 2001 distribution
O the population follows the 2010 distribution
Ha: the population doesn't follow the 2010 distribution
(b/c) Calculate the actual number of respondents in 2010 that fall in each response category as well
as the expected number, assuming that the population follows the 2001 distribution. (please round
to the nearest whole number)
Response
Observed 2010
Expected 2010
Humans Evolved with God guiding
(1)
Humans evolved but God had no
part in the process (2)
God created humans in present
form (3)
Other / No opinion (4)
(d) Conduct a chi-square test and state your conclusion.
The value of the test statistic is:
(please round to two decimal places)
The degrees of freedom for this test are:
The p-value for this test is:
(please round to four decimal places) State the conclusion of the test in
the context of the problem:
O The data provide sufficient evidence to claim that the 2010 distribution is different than the
distribution in 2001
O The data to not provide sufficient evidence to claim that the 2010 distribution is different
than the distribution in 2001
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